Algebraic geometry is a field that investigates the solutions of systems of polynomial equations and the geometric structures they define. At its core lies the study of algebraic varieties, whose ...

Algebraic geometry, the study of solutions to polynomial equations and their geometric properties, finds rich interplay with class field theory—a branch of number theory that classifies abelian ...

Algebraic geometry; commutative algebra; homological algebra; algebraic K-theory. My research has been mainly in algebraic geometry, with an abiding interest in the study of algebraic cycles, ...